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12221011130300 = 225271311163114593
BaseRepresentation
bin1011000111010110110100…
…0001101111011110111100
31121021022120021111210112222
42301311231001233132330
53100212112322132200
641554131025344512
72400640022432120
oct261655501573674
947238507453488
1012221011130300
1139919a12001a5
12145461ba98138
136a8589a1ca2b
1430370038d580
15162d6ac8ed85
hexb1d6d06f7bc

12221011130300 has 144 divisors (see below), whose sum is σ = 30565993151232. Its totient is φ = 4154464204800.

The previous prime is 12221011130297. The next prime is 12221011130381. The reversal of 12221011130300 is 303111012221.

It is a super-2 number, since 2×122210111303002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106589804 + ... + 106704396.

It is an arithmetic number, because the mean of its divisors is an integer number (212263841328).

Almost surely, 212221011130300 is an apocalyptic number.

12221011130300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221011130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15282996575616).

12221011130300 is an abundant number, since it is smaller than the sum of its proper divisors (18344982020932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12221011130300 is a wasteful number, since it uses less digits than its factorization.

12221011130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115908 (or 115901 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12221011130300 its reverse (303111012221), we get a palindrome (12524122142521).

The spelling of 12221011130300 in words is "twelve trillion, two hundred twenty-one billion, eleven million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 131 140 175 262 350 524 655 700 917 1163 1310 1834 2326 2620 3275 3668 4585 4652 5815 6550 8141 9170 11630 13100 16282 18340 22925 23260 29075 32564 40705 45850 58150 81410 91700 114593 116300 152353 162820 203525 229186 304706 407050 458372 572965 609412 761765 802151 814100 1066471 1145930 1523530 1604302 2132942 2291860 2864825 3047060 3208604 3808825 4010755 4265884 5332355 5729650 7617650 8021510 10664710 11459300 15011683 15235300 16043020 20053775 21329420 26661775 30023366 40107550 53323550 60046732 75058415 80215100 105081781 106647100 133271659 150116830 210163562 266543318 300233660 375292075 420327124 525408905 533086636 666358295 750584150 932901613 1050817810 1332716590 1501168300 1865803226 2101635620 2627044525 2665433180 3331791475 3731606452 4664508065 5254089050 6663582950 9329016130 10508178100 13327165900 17458587329 18658032260 23322540325 34917174658 46645080650 69834349316 87292936645 93290161300 122210111303 174585873290 244420222606 349171746580 436464683225 488840445212 611050556515 872929366450 1222101113030 1745858732900 2444202226060 3055252782575 6110505565150 12221011130300